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3 years ago

6

A gardener needs to pack 16 lbs of beans into 20 bags. he wants all the bags to weigh about the same. about how much will each b

ag weigh

1 answer:

Liula [17]3 years ago

3 0

16/20 = 0.8

Each bag will have to weight 0.8 lbs

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A cabinet door has a perimeter of 62 inches its area is 228 in.² what are the dimensions of the door

Vlad1618 [11]

P=2(L+W)
A=LW

given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W

sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero

W-19=0
W=19

W-12=0
W=12

sub back

L=31-W
L=31-12
L=19
or
L=31-19
L=12

the doorway is 12in by 19in

4 0

3 years ago

Using the formula C=2pi r find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.

Ivenika [448]

Answer: 88 inches

Step-by-step explanation:

We know that the formula to find the circumference of circle is given by :-

$C=2\pi r$ , where r is the radius of the circle.

Given : Diameter of circle = 28 inches

Also, diameter is twice of radius.

i.e. 2r=28

Therefore, the circumference of circle will be :-

$C=2\pi r=(2r)\pi=28\times(3.14)=87.92text{ inches}\approx88\text{ inches}$

Hence, the circumference of circle is 88 inches.

5 0

3 years ago

Is 8π rational or irrational number?

evablogger [386]

Irrational i assume

3 0

3 years ago

Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?

algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.

Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.

Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.

So, the coordinates of the endpoint are $T = (5,-13)$

If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.

We have $G = (-3, 5)$ and $T = (x_T,y_T)$ . The midpoint is computed as

$A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)$

So, you have the equations

$\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4$

Multply both equations by 2 to get

$-3+x_T = 2,\qquad 5+y_T = -8$

Move the constants to the right hand sides to get

$x_T = 5,\qquad y_T = -13$

8 0

3 years ago

Question 10 of 15

AysviL [449]

Answer:

If Angelo can Mow his lawn in 2/3 of an hour or 40 minutes, it means that after 1/2 or 30 minutes 75% of the lawn will be mowed, this is because if he can mow the lawn in 40 and we want to know how much he can mow in 30 minutes this gives us the fraction 30/40 which is also equal to 3/4 or 75%. meaning that the correct picture is the one that shows that 3/4 of the lawn is mowed

7 0

3 years ago